Extensions 1→N→G→Q→1 with N=C3 and Q=C2×S3×Q8

Direct product G=N×Q with N=C3 and Q=C2×S3×Q8
dρLabelID
S3×C6×Q896S3xC6xQ8288,995

Semidirect products G=N:Q with N=C3 and Q=C2×S3×Q8
extensionφ:Q→Aut NdρLabelID
C31(C2×S3×Q8) = C2×Dic3.D6φ: C2×S3×Q8/C2×Dic6C2 ⊆ Aut C348C3:1(C2xS3xQ8)288,947
C32(C2×S3×Q8) = C2×S3×Dic6φ: C2×S3×Q8/S3×C2×C4C2 ⊆ Aut C396C3:2(C2xS3xQ8)288,942
C33(C2×S3×Q8) = S32×Q8φ: C2×S3×Q8/S3×Q8C2 ⊆ Aut C3488-C3:3(C2xS3xQ8)288,965
C34(C2×S3×Q8) = C2×Q8×C3⋊S3φ: C2×S3×Q8/C6×Q8C2 ⊆ Aut C3144C3:4(C2xS3xQ8)288,1010

Non-split extensions G=N.Q with N=C3 and Q=C2×S3×Q8
extensionφ:Q→Aut NdρLabelID
C3.(C2×S3×Q8) = C2×Q8×D9φ: C2×S3×Q8/C6×Q8C2 ⊆ Aut C3144C3.(C2xS3xQ8)288,359

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